Modelling the Effect of Screening on the Spread of HIV Infection in a Population with Variable Inflow of Infective Immigrants

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dc.creatorShabani, Issa
dc.creatorMassawe, Estomih S.
dc.creatorMakinde, Oluwole D.
dc.date2016-06-26T17:45:59Z
dc.date2016-06-26T17:45:59Z
dc.date2011
dc.date.accessioned2018-03-27T08:57:56Z
dc.date.available2018-03-27T08:57:56Z
dc.descriptionThis paper examines the combined effects of screening and variable inflow of infective immigrants on the spread of HIV/AIDS (human immunodeficiency virus/acquired immune deficiency syndrome) in a population of varying size. A nonlinear deterministic mathematical model for the problem is proposed and analysed qualitatively using the stability theory of differential equations. The results show that the reproductive number R0 >1 as the rate of inflow of infective immigrants increases leading to persistence of the disease in the population. However, the presence of screening greatly reduces the spread of HIV/AIDS. Numerical simulation of the model is implemented to investigate the sensitivity of certain key parameters on the spread of the disease.
dc.identifierShabani, I., Massawe, E.S. and Makinde, O.D., 2011. Modelling the effect of screening on the spread of HIV infection in a population with variable inflow of infective immigrants. Scientific Research and Essays, 6(20), pp.4397-4405.
dc.identifier1992-2248
dc.identifier10.5897/SRE11.385
dc.identifierhttp://hdl.handle.net/20.500.11810/2777
dc.identifier.urihttp://hdl.handle.net/20.500.11810/2777
dc.languageen
dc.publisherScientific Research
dc.subjectHuman immunodeficiency virus/acquired immune deficiency syndrome
dc.subjectScreening
dc.subjectInfective immigrants
dc.subjectReproductive number
dc.subjectStability analysis
dc.subjectNumerical simulation
dc.titleModelling the Effect of Screening on the Spread of HIV Infection in a Population with Variable Inflow of Infective Immigrants
dc.typeJournal Article, Peer Reviewed

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